Structured condition numbers and backward errors in scalar product spaces.
Structured conditioning of matrix functions.
Structured Jordan canonical forms for structured matrices that are Hermitian, skew Hermitian or unitary with respect to indefinite inner products.
Structured low rank approximations of the sylvester resultant matrix for approximate GCDS of Bernstein basis polynomials.
Structured polynomial eigenproblems related to time-delay systems.
Structured tools for structured matrices.
Structures Algebraiques munis, avec des lois de composition generalisees - Generalisations du produit scalaire
Studying the various properties of MIN and MAX matrices - elementary vs. more advanced methods
Let T = {z1, z2, . . . , zn} be a finite multiset of real numbers, where z1 ≤ z2 ≤ · · · ≤ zn. The purpose of this article is to study the different properties of MIN and MAX matrices of the set T with min(zi , zj) and max(zi , zj) as their ij entries, respectively.We are going to do this by interpreting these matrices as so-called meet and join matrices and by applying some known results for meet and join matrices. Once the theorems are found with the aid of advanced methods, we also consider whether...
Stupeň inverznej krivky v projektívnom priestore Lagrangeových-Sylvestrových polynómov
Su alcuni invarianti numerici associati a sistemi di equazioni lineari in un modulo
Subdeterminants and subgraphs
Subdirect sums of doubly diagonally dominant matrices.
Subdirect sums of nonsingular -matrices and of their inverses.
Subdirect sums of -strictly diagonally dominant matrices.
Subdominant eigenvalues for stochastic matrices with given column sums.
Subgroups of a finite group whose algebra of invariants is a complete intersection
Subharmonicity in von Neumann algebras
Let ℳ be a von Neumann algebra with unit . Let τ be a faithful, normal, semifinite trace on ℳ. Given x ∈ ℳ, denote by the generalized s-numbers of x, defined by = inf||xe||: e is a projection in ℳ i with ≤ t (t ≥ 0). We prove that, if D is a complex domain and f:D → ℳ is a holomorphic function, then, for each t ≥ 0, is a subharmonic function on D. This generalizes earlier subharmonicity results of White and Aupetit on the singular values of matrices.
Sudoku graphs are integral.
Sufficient Conditions for a Pair of n-Planes to be Area-Minimizing.
Sufficient conditions to be exceptional
A copositive matrix A is said to be exceptional if it is not the sum of a positive semidefinite matrix and a nonnegative matrix. We show that with certain assumptions on A−1, especially on the diagonal entries, we can guarantee that a copositive matrix A is exceptional. We also show that the only 5-by-5 exceptional matrix with a hollow nonnegative inverse is the Horn matrix (up to positive diagonal congruence and permutation similarity).